Of the 180 students in Mrs. Stanfield's class,
2 answers:
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For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.
The dimensions are 475 m by 237.5 m.
_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.
The dimensions are 475 m by 237.5 m.
_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.
Answer:
Perimeter of the smaller triangle = 1.75x
Step-by-step explanation:
Let the two equal sides of an isosceles triangle = x
Therefore, length of the base =
Perimeter of this isosceles triangle = x + x +
= 2x +
= 2x + x +
=
Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,
Length of each corresponding side of smaller triangle will be half of the larger triangle.
Length of sides of the smaller triangle =
Perimeter of the smaller triangle =
= x +
=
=
=
= 1.75x
Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)